Wave scattering by a chiral spheroid

Abstract

An exact analytic solution is presented, by using the method of separation of variables, to the problem of electromagnetic wave scattering by an optically active (chiral) spheroid. Fields outside as well as inside the spheroid are expanded in terms of vector spheroidal eigenfunctions, and a set of simultaneous linear equations is obtained by imposing boundary conditions on the surface of the spheroid. Solution of these equations results in the unknown coefficients in the series expansions of the associated fields. The behavior of the scattered fields is illustrated by plots of scattering cross sections for both prolate and oblate spheroids of different sizes and materials in the resonance region.

Plane Wave Scattering by an Achiral Multilayered Sphere in an Infinitely Extended Chiral Host Medium

“…Exact or analytic solutions for electromagnetic scattering by a chiral sphere [12][13][14]11], circular cylinder(s) [15][16][17][18], spherical shells [19], and a spheroid [20] are available in literature. However, the problem of an achiral object buried in a chiral environment have not been well studied, to our best knowledge.…”

Electromagnetic Scattering by Multilayered Chiral-Media Structures: a Scattering-to-Radiation Transform

“…The historical background, and a general description, of the subject of electromagnetic chirality and its applications can be found, as examples, in literature [1][2][3][4][5][6][7][8]. Among the research work about the electromagnetic wave scattering by chiral objects, exact (or analytic) and asymptotic (or numerical) solutions to electromagnetic scattering by chiral sphere(s) [9][10][11][12][13], cylinder(s) [14][15][16][17], spherical shells [18] and a spheroid [19] are available in the literature. In the present paper, the method of vector wave eigenfunction expansion [10,16,19,20] is utilized to calculate the electromagnetic scattering by a planarly stratified chiral medium structure, a multilay-ered chiral cylinder, and a multilayered chiral sphere.…”

“…Among the research work about the electromagnetic wave scattering by chiral objects, exact (or analytic) and asymptotic (or numerical) solutions to electromagnetic scattering by chiral sphere(s) [9][10][11][12][13], cylinder(s) [14][15][16][17], spherical shells [18] and a spheroid [19] are available in the literature. In the present paper, the method of vector wave eigenfunction expansion [10,16,19,20] is utilized to calculate the electromagnetic scattering by a planarly stratified chiral medium structure, a multilay-ered chiral cylinder, and a multilayered chiral sphere. Electromagnetic fields in free space as well as in each layer of the multilayered chiral media of three geometries are expanded in terms of the corresponding vector eigenfunctions in their convenient coordinates systems, and the coefficients of the scattered electric field are derived by matching boundary conditions satisfied by the transmission coefficient matrices [21,22] at all dielectric interfaces.…”

Electromagnetic Scattering by an Inhomogeneous Chiral Sphere of Varying Permittivity: a Discrete Analysis Using Multilayered Model

“…Among the research work associated with electromagnetic wave scattering by chiral objects, analytic solutions for electromagnetic scattering by chiral spheres [7][8][9], circular cylinder(s) [10][11][12][13], spherical shells [14,15], and spheroid [16] are available in the literature. There has, to the best of our knowledge, been no analytic solution to an inhomogeneous or multilayered chiral sphere.…”